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Finding the Fourth Proportional to 12,714, 19,075.48 and 5,693.44

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Solution

The fourth proportional to 12,714, 19,075.48 and 5,693.44 is: 8,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714 : 19,075.48 = 5,693.44 : x
  2. Step 2: Convert to fraction form
    12,714/19,075.48 = 5,693.44/x
  3. Step 3: Cross multiply
    12,714x = 19,075.48 × 5,693.44
  4. Step 4: Simplify right side
    12,714x = 108,605,100.85
  5. Step 5: Solve for x
    x = 108,605,100.85/12,714
  6. Step 6: Final answer
    x = 8,542.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.